WorksheetsPolygon Sum Theorem, Exterior Angle Theorem and Triangles
Total questions: 31
Worksheet time: 55mins
Name
Class
Date
1.
Which of the following angles can you add together to equal angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
2.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
3.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
4.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
5.
Find the measure of the indicated angle.
a)
145
b)
113
c)
102
d)
78
6.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
7.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
8.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
9.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
10.
Find the measure of the indicated angle.
a)
89
b)
211
c)
119
d)
81
11.
Find the measure of the indicated angle.
a)
80
b)
58
c)
42
d)
138
12.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
13.
A polygon's interior angles add up to 2700. How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11
14.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
15.
A polygon with 5 sides is called a(n) _____________.
a)
pentagon
b)
hexagon
c)
septagon
d)
quadrilateral
16.
A polygon with 8 sides is called a(n) __________________.
a)
octagon
b)
decagon
c)
heptagon
d)
dodecagon
17.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
18.
What is the SUM of the angle measures in a 35-gon?
a)
180°
b)
5940°
c)
1080°
d)
169.71°
19.
What is the measure of one interior angle of a regular 45-gon? (regular means all the angles in the polygon are the same measure)
a)
180°
b)
360°
c)
172°
d)
93°
20.
Solve for x.
a)
100
b)
120
c)
125
d)
130
21.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
22.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
23.
Convex or Concave?
a)
Convex
b)
Concave
24.
What is the relationship between angle 4 and angle 9?
a)
Vertical Angles
b)
Alternate Interior Angles
c)
Consecutive Interior Angles
d)
Linear Pair
25.
Solve for X.
a)
90°
b)
98°
c)
100°
d)
115°
26.
What is the name of a twelve sided figure?
a)
dodecagon
b)
decagon
c)
hendecagon
d)
dgon
27.
The sum of the interior angles in a polygon is 3,240o. How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
28.
Find the measure of each angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
29.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
30.
Find x
a)
87
b)
180
c)
93
d)
25
31.
What is the third angle of a triangle if the 1st angle is 50, and the 2nd angle is 70?
a)
50
b)
60
c)
70
d)
80
100 %
